document.write( "Question 416406: Solve the rational equation\r
\n" ); document.write( "\n" ); document.write( "1/x-1 + 1/x+2=3/x^2+x-2
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Algebra.Com's Answer #291778 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Hi
\n" ); document.write( "Solving for x
\n" ); document.write( "\"1%2F%28x-1%29+%2B+1%2F%28x%2B2%29+=3%2F%28x%5E2%2Bx-2%29\" |Multiplying thru with (x-1)(x+2)
\n" ); document.write( " (x+2) + (x-1) = 3
\n" ); document.write( " x^2 + x - 2 = 0 |combining Like terms
\n" ); document.write( "factoring
\n" ); document.write( " (x+2)(x-1)= 0 Note:SUM of the inner product(2x) and the outer product(-x) = x
\n" ); document.write( " (x+2)= 0 x = -2 Extraneous - cannot divide by zero
\n" ); document.write( " (x-1)= 0 x = 1 Extraneous - cannot divide by zero
\n" ); document.write( " NO solution
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